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The rationality of the moduli spaces of trigonal curves of odd genus
trigonal curve rationality of moduli
2011/1/18
The moduli spaces of trigonal curves of odd genus g ≥ 5 are proven to be rational.
We shall prove that a moduli space of flat irreducible Lie algebroid connections over a compact
manifold has locally a natural structure of a smooth differentiable space. This is a generaliza-tion of...
A Note on Singular Moduli Spaces of Sheaves on K3 Surfaces
Singular Moduli Spaces K3 Surfaces
2010/11/24
This paper studies deformations and birational maps between singular moduli spaces of semistable sheaves with 2-divisible Mukai vectors on K3 surfaces. It is showed that under certain conditions, two...
A Note on Formality and Singularities of Moduli Spaces
Formality Singularities Moduli Spaces
2010/11/24
This paper studies formality of the differential graded algebra $RHom(E,E)$, where $E$ is a semistable sheaf on a K3 surface. The main tool is Kaledin's theorem on formality in families. For a large ...
We show that the Brauer group of any moduli space of stable pairs with fixed determinant over a curve is zero.